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192093741225 = 32526124792
BaseRepresentation
bin1011001011100110101…
…1011110000010101001
3200100211100021010101100
42302321223132002221
511121401444204400
6224125135312013
716610155600611
oct2627153360251
9610740233340
10192093741225
11745149aaa41
123128b97b609
131516433ab49
149424059a41
154ee42e4100
hex2cb9ade0a9

192093741225 has 81 divisors (see below), whose sum is σ = 350525830629. Its totient is φ = 100560110400.

The previous prime is 192093741223. The next prime is 192093741251. The reversal of 192093741225 is 522147390291.

The square root of 192093741225 is 438285.

It is a perfect power (a square), and thus also a powerful number.

192093741225 is a `hidden beast` number, since 1 + 9 + 209 + 3 + 7 + 412 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88481856681 + 103611884544 = 297459^2 + 321888^2 .

It is not a de Polignac number, because 192093741225 - 21 = 192093741223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (192093741223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 401030536 + ... + 401031014.

Almost surely, 2192093741225 is an apocalyptic number.

192093741225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

192093741225 is the 438285-th square number.

192093741225 is the 219143-rd centered octagonal number.

It is an amenable number.

192093741225 is a deficient number, since it is larger than the sum of its proper divisors (158432089404).

192093741225 is an frugal number, since it uses more digits than its factorization.

192093741225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 192093741225 in words is "one hundred ninety-two billion, ninety-three million, seven hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 183 225 305 479 549 915 1437 1525 2395 2745 3721 4311 4575 7185 11163 11975 13725 18605 21555 29219 33489 35925 55815 87657 93025 107775 146095 167445 229441 262971 279075 438285 688323 730475 837225 1147205 1314855 1782359 2064969 2191425 3441615 5347077 5736025 6574275 8911795 10324845 13995901 16041231 17208075 26735385 41987703 44558975 51624225 69979505 80206155 125963109 133676925 209938515 349897525 401030775 629815545 853749961 1049692575 2561249883 3149077725 4268749805 7683749649 12806249415 21343749025 38418748245 64031247075 192093741225